# Generalized Assignment Problem Instances In Deepholm

## GAP (generalized assignment problem) instances

The instances of types A, B, C and D with n <= 200 are exactly the same with those in OR-Library. Other instances (i.e., type E instances and instances with n >= 400) are generated by us. All the instances in this web site were solved as minimization problems in the papers listed below. Some of these instances are used in: P.C. Chu and J.E. Beasley, A genetic algorithm for the generalized assignment problem, Computers & Operations Research, 24 (1997) 17-23. M. Yagiura, T. Yamaguchi and T. Ibaraki, A Variable Depth Search Algorithm for the Generalized Assignment Problem, in: Meta-Heuristics: Advances and Trends in Local Search Paradigms for Optimization, eds. S. Voss, S. Martello, I.H. Osman and C. Roucairol, (Kluwer Academic Publishers, Boston, 1999) pp. 459-471. M. Yagiura, T. Yamaguchi and T. Ibaraki, A Variable Depth Search Algorithm with Branching Search for the Generalized Assignment Problem, Optimization Methods and Software, 10 (1998) 419-441. M. Yagiura, T. Ibaraki and F. Glover, An Ejection Chain Approach for the Generalized Assignment Problem, INFORMS Journal on Computing, 16 (2004) 133-151. M. Yagiura, T. Ibaraki and F. Glover, A Path Relinking Approach for the Generalized Assignment Problem, Proc. International Symposium on Scheduling, Japan, June 4-6, 2002, pp. 105-108. M. Yagiura, T. Ibaraki and F. Glover, A Path Relinking Approach with Ejection Chains for the Generalized Assignment Problem, European Journal of Operational Research, 169 (2006) 548-569. abstract The format is the same with those in OR-Library: number of agents (m), number of jobs (n) for each agent i (i=1,...,m) in turn: cost of allocating job j to agent i (j=1,...,n) for each agent i (i=1,...,m) in turn: resource consumed in allocating job j to agent i (j=1,...,n) resource capacity of agent i (i=1,...,m) Type A instances (tar + gzip)Type A instances (zip)Type B instances (tar + gzip)Type B instances (zip)Type C instances (tar + gzip)Type C instances (zip)Type D instances (tar + gzip)Type D instances (zip)Type E instances (tar + gzip)Type E instances (zip)

**Mutsunori YAGIURA**

## OR-Library

## J E Beasley

OR-Library is a collection of test data sets for a variety of OR problems.

A full list of the test data sets available in OR-Library can be found here.

## Generalised assignment problem

There are 16 data files. The first 12 data files are gap1, gap2, ..., gap12. The problems in these data files were used in: I.H. Osman, "Heuristics for the Generalised Assignment Problem: Simulated Annealing and Tabu Search Approaches", OR Spektrum, Volume 17, 211-225, 1995 D. Cattrysse, M. Salomon and L.N. Van Wassenhove, "A set partitioning heuristic for the generalized assignment problem", European Journal of Operational Research, Volume 72, 167-174, 1994 The format for each of these data files is: number of different problem sets (P) for each problem set p (p=1,...,P) in turn: number of agents (m), number of jobs (n) for each agent i (i=1,...,m) in turn: cost of allocating job j to agent i (j=1,...,n) for each agent i (i=1,...,m) in turn: resource consumed in allocating job j to agent i (j=1,...,n) resource capacity of agent i (i=1,...,m) The problems in each data file have an associated notation as follows: c515-1 : denotes a problem of type c with 5-agents and 15-jobs, problem number 1 in a group of problems of the same size. The optimal solution values are given below for these problems when solved as maximisation problems. gap1 gap2 gap3 gap4 c515-1 336 c520-1 434 c525-1 580 c530-1 656 c515-2 327 c520-2 436 c525-2 564 c530-2 644 c515-3 339 c520-3 420 c525-3 573 c530-3 673 c515-4 341 c520-4 419 c525-4 570 c530-4 647 c515-5 326 c520-5 428 c525-5 564 c530-5 664 gap5 gap6 gap7 gap8 c824-1 563 c832-1 761 c840-1 942 c848-1 1133 c824-2 558 c832-2 759 c840-2 949 c848-2 1134 c824-3 564 c832-3 758 c840-3 968 c848-3 1141 c824-4 568 c832-4 752 c840-4 945 c848-4 1117 c824-5 559 c832-5 747 c840-5 951 c848-5 1127 gap9 gap10 gap11 gap12 c1030-1 709 c1040-1 958 c1050-1 1139 c1060-1 1451 c1030-2 717 c1040-2 963 c1050-2 1178 c1060-2 1449 c1030-3 712 c1040-3 960 c1050-3 1195 c1060-3 1433 c1030-4 723 c1040-4 947 c1050-4 1171 c1060-4 1447 c1030-5 706 c1040-5 947 c1050-5 1171 c1060-5 1446 The largest file is gap12 of size 20Kb (approximately). The final four data files are gapa, gapb, gapc and gapd. The problems in these data files were used in: P C Chu and J E Beasley "A genetic algorithm for the generalised assignment problem", Computers and Operations Research, Volume 24, pages 17-23, 1997. The format of these data files is as given above. File gapa contains type A problems File gapb contains type B problems File gapc contains type C problems File gapd contains type D problems The problems in these files are minimisation problems. The largest file is gapd of size 67Kb (approximately). The entire set of 16 files is of size 400Kb (approximately).Click here to access these files

OTHER SOURCES

More generalised assignment instances can be found here

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