Research Reports from the Department of Operations

Document Type

Dissertation

Publication Date

7-1-1975

Abstract

The problem of scheduling n jobs on one machine to minimize the weighted number tardy is considered, when job arrival times, processing times, due dates and weights are given constants. It is assumed that jobs may be interrupted at any time, and later resumed without penalty. A taxonomy of special cases for this problem is developed. Polynomial-bounded algorithms are given for some of the special cases and some other special cases are shown to belong to the set of NP-complete problems. A branch-bound solution is presented for the case in which all jobs have the same weight. The algorithm is tested on numerical data and the results are tabulated.

Keywords

Operations research, Scheduling--Mathematical models, Job shops--Management, Production scheduling, Algorithms, Mathematical optimization, NP-complete problems, Branch and bound algorithms

Publication Title

Dissertation, Department of Operations, School of Management, Case Western Reserve University

Issue

Technical memorandum no. 385 ; Submitted in partial fulfillment of the requirements for the Degree of Doctor of Philosophy.

Rights

This work is in the public domain and may be freely downloaded for personal or academic use

Share

COinS
 
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.