Sixth International Conference
Parametric Optimization and Related Topics


Dubrovnik, Croatia, October 4-8, 1999


Under the Auspices of the Ministry of Science and Technology of the Republic of Croatia

Local Organizer: Croatian Operational Research Society

Cooperating Institutions:

  • Department of Mathematics, University of Zagreb
  • Faculty of Economics, University of Zagreb
  • Institute for Defence Studies, Research and Development, Zagreb


The 6th International Conference on Parametric Optimization and Related Topics will be held in Dubrovnik, Croatia. This Conference continues the tradition of its predecessors, which took place in Plaue (1985), Eisenach (1989), Güstrow (1991), Enschede (1995) and Tokyo (1997). The scope of the Conference includes all aspects of parametric optimization, ranging from fundamental research to applications.


  • Structural Analysis in Optimization, Optimal Control and Variational Inequalities
  • Stability and Sensitivity
  • Pathfollowing Methods
  • Data Envelopment Analysis
  • Applications in Multiobjective, Stochastic and Global Optimization
  • Applications in Engineering, Economics and Finance
  • Others


Executive Committee

  • L. Neralic, University of Zagreb, Croatia
  • J. Guddat, Humboldt University of Berlin, Germany
  • H. Th. Jongen, RWTH Aachen, Germany
  • R. Hirabayashi, Science University of Tokyo, Japan
  • S. Zlobec, McGill University, Montreal, Canada

Organizing Committee

  • L. Neralić (Chairman), University of Zagreb, Croatia
  • I. Jemrić, Croatian National Bank, Croatia
  • R. Manger, University of Zagreb, Croatia
  • I. Paparela, University of Split, Croatia
  • J. Petrović, Institute for Defence Studies, Research and Development, Zagreb, Croatia
  • S. Ribarić, University of Zagreb, Croatia
  • R. Scitovski, University of Osijek, Croatia
  • K. Šorić, University of Zagreb, Croatia
  • S. Štimac, University of Zagreb, Croatia
  • S. Zlobec, McGill University, Montreal, Canada

Program Committee

B. Brosowski (Germany), J. Dupacova (Czech Republic), S. Flåm (Norway), J. Guddat (Germany), R. Hirabayashi (Japan), A. Ioffe (Israel), H. Th. Jongen (Germany), J. Judice (Portugal), D. Klatte (Switzerland), M. Kress (Israel), M. A. Lopez (Spain), L. Neralić (Croatia), F. Nozicka (Czech Republic), W. Oettli (Germany), D. Pallaschke (Germany), H. J. M. Peters (Netherlands), W. Römisch (Germany), J.-J. Rückmann (Germany), L. Seiford (USA), M. Thera (France), R. Tichatschke (Germany), F. Twilt (Netherlands), M. Vlach (Japan), R. Wendell (USA), K. Zimmermann (Czech Republic), S. Zlobec (Canada).


Plenary Lectures

  • E. G. Golshtein (CEMI, Russian Academy of Sciences, Moscow, Russia)
  • P. Kall (University of Zürich, Zürich, Switzerland)
  • H. Maurer (University of Münster, Germany)
  • B. Mordukhovich (Wayne State University, Detroit, USA)
  • S. Rolewicz (PAN, Institut of Mathematics, Warszawa, Poland)
  • L. M. Seiford (University of Massachussetts at Amherst, USA)
  • A. Wierzbicki (Institut of Telecommunications, Warszawa, Poland)

Tutorial Lectures

  • J. Dupacova: Portfolio Optimization via Stochastic Programming: Methods of Output Analysis
  • J. Guddat: Pathfollowing Methods and Decision Making
  • H. Th. Jongen: Elements of Morse Theory, Stability Theory and Singularity Theory
  • S. Zlobec: An Illustrative Mini-Encyclopedia of Parametric Optimization


In addition to invited lectures (50 min) there will be contributed talks (30 min including discussion). Participants who wish to give a talk are kindly requested to indicate this on the registration form. The form for the abstracts will be sent together with further instructions in the second announcement.


The second announcement will be mailed in May 1999.


All authors are requested to submit abstracts of their proposed papers by E-mail using the “Abstract Form”. Abstract should be written in English (preferably in Word, (Ams)(La)Tex) and its text should not exceed 1400 characters with spaces.


Date Morning Afternoon Evening
October 3 (Sun.)   Arrival Arrival
October 4 (Mon.) Opening session
Plenary session
Tutorial lectures
Contributed talks
Guided tour Dubrovnik
October 5 (Tue.) Plenary sessions Tutorial lectures
Contributed talks
October 6 (Wed.) Plenary sessions Excursion  
October 7 (Thu.) Plenary session
Contributed talks
Tutorial lecture
Contributed talks
October 8 (Fri.) Plenary session
Contributed talks
Tutorial lectures
Contributed talks


Date: October 4 (Monday) – October 8 (Friday) , 1999

Venue: Hotel “Excelsior”, Dubrovnik, Frana Supila 12, Tel.++385/20/414-222, 414-215, Fax: ++385/20/414-214





Dubrovnik, one of the most beautiful towns in Europe, is a medieval city in southern Croatia on the Adriatic coast. It is immensely rich in cultural and historic monuments dating back a thousand years. In its early history it was an independent Republic, a center of cultural and economic power, second in fame only to Venice. Today it is the administrative seat of the Dubrovnik-Neretva County and also the center for contemporary economic, cultural and scientific events. It is the city of Summer Festival – an international review of truly great achievements in musical and theatrical events. Its museums, treasuries and galleries have contributed to making Dubrovnik a city of choice. One can explore a wide range of exciting events and activities that the city offers or just relax in peaceful surroundings in mild Mediterranean climate and colourful scenery. Dubrovnik is included in UNESCO World Heritage List. “Those who seek paradise on earth should come to Dubrovnik” (Bernard Shaw). More information about Dubrovnik can be found on the world wide web at the page


The conference will take place in the hotel “Excelsior” in Dubrovnik, which is on the coast at walking distance from the old city of Dubrovnik.


It is planned to publish Conference Proceedings. All contributions will be refereed according to international standards.



July 15, 1999: Early registration

August 1, 1999: Submission of abstracts

February 1, 2000: Full paper

Registration fee

Early registration fee is US$ 150 and covers the volume of abstracts, participation in all sessions, guided tour in Dubrovnik and reception on Monday, October 4, and refreshments during the breaks. It is accepted until July 15, 1999. From July 16 on, registration fee will be US$ 180.

Registration fee for members of Program Committee is US$ 100 for accompaning person US$ 40 (covers reception, guided tour and refresments) and for full-time students US$ 25 (covers reception and refreshments).


October 3, 1999, from 16:00.


The conference will take place in the hotel “Excelsior” in Dubrovnik, which is on the coast at walking distance from the old city of Dubrovnik.

Hotel “Lero”, Dubrovnik, Iva Vojnovića 14, Tel.++385/20/411-455, 432-734, Fax: ++385/20/432-501, is on the other side of the old city at about 30 minutes walking distance from the conference center (hotel “Excelsior”) or about 10 minutes using local bus.

Hotel EXCELSIOR: bed/breakfast     half board
(the prices are in US$)
SINGLE (North) 49 62
DOUBLE (sea view )(per person) 49 62
DOUBLE FOR SINGLE (see view) 71 84
Hotel LERO    
(the prices are in US$)
SINGLE 32 38
DOUBLE 18 23

We suggest to take half-board including lunch.

Sojourn tax is not included and amounts US$ 1 per person, per day.

Hotel Reservation Form


The easiest way to get Dubrovnik is to fly to Zagreb and then to Dubrovnik. There are several flights by “Croatia Airlines” every day from Zagreb to Dubrovnik and back. The flight takes about one hour. To get to Zagreb there are direct flights from more then twenty European cities to Zagreb.

The distance between Dubrovnik airport and downtown is about 13 miles. It takes about 20 minutes by bus to get the main bus-station in Dubrovnik from the airport. One way transfer on October 3, 1999 and October 10, 1999 offered by organizers from the airport to the hotels “EXCELSIOR” or “LERO” is DEM 10 per person.

For flights by “Croatia Airlines” on the route Franfurt-Zagreb-Dubrovnik on October 3, 1999 and flights on the route Dubrovnik-Zagreb-Frankfurt on October 10, 1999 there is a number of seats reserved in advance for participants of the conference. We suggest you to contact Mrs. Renate Pincus at “Euro Lloyd Reisebüro”, Spandauer Strasse 5, 10178 Berlin, Germany, Tel. ++49/30/ 242-3883, Fax : ++49/30/ 242-4710. Information on timetable of “Croatia Airlines” can be found at:



Parametric Optimization VI, c/o Mrs. B. Grdovic

University of Zagreb, Department of Mathematics

Bijenicka cesta 30, 10 000 Zagreb, CROATIA

Tel: + 385-1-4680-508

Fax: + 385-1-4680-335


Registration form:


Topics and Rooms




Passports - Border passes

To enter the Republic of Croatia, foreign nationals should have one of the following documents: a foreign passport, a travel document for foreigners. Citizens of Italy and Slovenia can use their identity card instead of passports.


Citizens of almost all European countries, as well as those from Argentina, Chile, Algeria, Ecuador and Japan, do not need a visa to enter the Republic of Croatia. People from all other countries need visas. Visas are issued in the consulates and embassies of the Republic of Croatia.


Foreign tourists can bring items that they need during their stay and that are not meant for sale into the Republic of Croatia without payment of customs duties.


These are the ways in which payments can be made in Croatia:

  • the official currency of the Republic of Croatia, the Croatian kuna (HRK),
  • credit cards – American Express, Visa, Eurocard Mastercard and Diners Club cards are the ones most commonly used,
  • cheques: travelers’ cheques, Euro cheques and bankers’ cheques of well known world banks can be changed in exchange offices and banks
  • personal cheques: which can be changed into HRK as long as they are previously verified,
  • foreign currency can be changed at bank exchange counters, in post offices, travel agencies and hotels,
  • changing HRK back into foreign currency can be done only in banks,
  • there is no limit on the amount of foreign currency that foreign tourists can bring into Croatia, while the amount of Croatian kuna that can be brought into Croatia is limited to 2.000 per person, in notes of up to 500 kunas
  • there is no limit on the amount of money that foreign tourists can take out of Croatia, while the amount of Croatian money that can be taken out is limited to 2.000 per person, in notes up to 500 kunas.

The City of Dubrovnik

The City of Dubrovnik is situated at the far south of the Republic of Croatia, from the cape Orsula in the east to Brsecine in the west. With the Elaphite archipelago (islands of Sipan, Lopud, Kolocep, Olipe, Tajan and Jakljan) it covers an area of 143.35 sq.kms and stretches along 20.5 km.

The city comprises 31 settlements, 47.004 inhabitants, with median density of population of 3281 per


Air Temperature:

  • average annual: 16.4° C
  • average of coldest period (January):9.00°C
  • average of warmest period (August): 24.9°C

Sea Temperature:

  • average May-September 17.9°C – 23.8°C
  • salinity: approx. 38 %


  • average annual: 1020.8mm
  • rain, annual average days: 109.2
  • snow – infrequent (average: 2 days in a year)


  • average annual: 2629.1 hours
  • average daily: 7.2 hours

Typical winds:

  • maestral (Mistral), NW , usually in summer
  • bura, NE, usually in winter
  • jugo (Scirrocco), SE, year round

For all others touristic services please contact: Mr. Milo Katić, Congress Department Manager, “ATLAS” Travel Agency, Miha Klaića 2, 20 000 Dubrovnik, Tel. ++385/20/442-222; 442-605, Fax: ++385/20/411-100, e-mail:

Post Conference Short Note

The following papers, presented at the PARAOPT VI Conference in Dubrovnik, were published in a Special Issue of the journal Optimization Journal of Mathematical Programming and Operations Research (Guest Editors J. Guddat, H. Th. Jongen, L. Neralić and S. Zlobec), Volume 49, 2001 - Issue 4):

  1. E. G. Belousov, On types of hausdorff discontinuity from above for convex closed mappings, Optimization Journal of Mathematical Programming and Operations Research, Vol. 49, No. 4, 2001, 303-325.
  2. J-B. Caillau, J. Noailles, Sensitivity analysis for time optimal orbit transfer, Optimization Journal of Mathematical Programming and Operations Research, Vol. 49, No. 4, 2001, 327-350.
  3. D. Augustin , H. Maurer, Second order sufficient conditions and sensitivity analysis for the optimal control of a container crane under state constraints, Optimization Journal of Mathematical Programming and Operations Research, Vol. 49, No. 4, 2001, 351-368.
  4. A. Jess, H.Th. Jongen, L. Neralić, O. Stein, A Semi-Infinite Programming Model In Data Envelopment Analysis, Optimization Journal of Mathematical Programming and Operations Research, Vol. 49, No. 4, 2001, 369-385.
  5. G. Still, How to split the eigenvalues of a one-parameter family of matrices, Optimization Journal of Mathematical Programming and Operations Research, Vol. 49, No. 4, 2001, 387-403.

We also celebrated the fact that Jan Rückmann was appointed to be professor at the Technical University of Illmenau.

Welcome party was very nice, organized in the Rector's Palace after the City Tour. Excursion to Cavtat in the boat was wonderful. One of the social events in the evening was staying in the Hotel Excelsior, drinking and singing (L. Neralić was playing guitar).

We do appreciate very much effort of invited speakers of Plenary lectures H. Maurer, B. Mordukovich, P. Kall, A. P. Wierzbicki and L. M. Seiford, and invited speakers of Tutorial lectures S. Zlobec, J. Guddat, H. Th. Jongen, R. E. Wendell, H. Peters, M. Kress and J. Dupačova. Support of the Ministry of Science and Technology of the Republic of Croatia, Cooperating Institutions and Sponsors, and of local organizer Croatian Operational Research Society (CRORS) is also very much appreciated.

Executive Committee:

Juergen Guddat and Hubertus Th. Jongen