We consider a perturbed mathematical programming problem where both the objective and the constraint functions are analytical in both the underlying decision variables and in the perturbation variable/parameter that is denoted by . The following question arises: what is the description of the soluti
Directed Perturbation Analysis of an Integer Program
โ Scribed by Hsiao-Fan Wang; Jyh-Shing Horng
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 140 KB
- Volume
- 201
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
In this paper, we examine the largest tolerance levels in integer programming ลฝ . IP problems when the perturbation occurs on the right hand sides of the constraints in positive or negative directions. Based on the properties of defined stepsizes, we have not only revealed the nested and the inverted nested structures of a parametric IP with a developed algorithm, but also analyzed the configuration of a non-parametric IP with a comparative study. The complexity analysis is incorporated with numerical examples.
๐ SIMILAR VOLUMES
Six greedy primal selection rules are evaluated on a class of generalized set packing models. The evaluation is conducted in accordance with experimental design methodologies proposed by Lin and Rardin. Results indicate that the simplest of rules performs best, except when the model constraints exhi