Abstract

https://ssrn.com/abstract=2558183
 


 



Approximations to Optimal K-Unit Cycles for Single-Gripper and Dual-Gripper Robotic Cells


Neil Geismar


Texas A&M University - Mays Business School

Lap Mui Ann Chan


Virginia Polytechnic Institute & State University

Milind Dawande


University of Texas at Dallas - Department of Information Systems & Operations Management

Chelliah Sriskandarajah


Texas A&M University

2008

Production and Operations Management, Vol. 17, No. 5, September-October 2008
Mays Business School Research Paper No. 2015-22

Abstract:     
We consider the problem of scheduling operations in bufferless robotic cells that produce identical parts using either single-gripper or dual-gripper robots. The objective is to find a cyclic sequence of robot moves that minimizes the long-run average time to produce a part or, equivalently, maximizes the throughput. Obtaining an efficient algorithm for an optimum k-unit cyclic solution (k ≥ 1) has been a longstanding open problem.

For both single-gripper and dual-gripper cells, the approximation algorithms in this paper provide the bestknown performance guarantees (obtainable in polynomial time) for an optimal cyclic solution. We provide two algorithms that have a running time linear in the number of machines: for single-gripper cells (respectively, dual-gripper cells), the performance guarantee is 9/7 (respectively, 3/2). The domain considered is free-pickup cells with constant intermachine travel time. Our structural analysis is an important step towardr esolving the complexity status of finding an optimal cyclic solution in either a single-gripper or a dual-gripper cell. We also identify optimal cyclic solutions for a variety of special cases. Our analysis provides production managers valuable insights into the schedules that maximize productivity for both single-gripper and dual-gripper cells for any combination of processing requirements andphysical parameters.

Number of Pages in PDF File: 14

Keywords: robotic cells; dual-gripper robots; manufacturing; cyclic solutions; approximation algorithms


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Date posted: February 1, 2015  

Suggested Citation

Geismar, Neil and Chan, Lap Mui Ann and Dawande, Milind and Sriskandarajah, Chelliah, Approximations to Optimal K-Unit Cycles for Single-Gripper and Dual-Gripper Robotic Cells (2008). Production and Operations Management, Vol. 17, No. 5, September-October 2008; Mays Business School Research Paper No. 2015-22. Available at SSRN: https://ssrn.com/abstract=2558183

Contact Information

Neil Geismar (Contact Author)
Texas A&M University - Mays Business School ( email )
Wehner 401Q, MS 4353
College Station, TX 77843-4218
United States

Lap Mui Ann Chan
Virginia Polytechnic Institute & State University ( email )
Blacksburg, VA 24061
United States
Milind Dawande
University of Texas at Dallas - Department of Information Systems & Operations Management ( email )
P.O. Box 830688
Richardson, TX 75083-0688
United States
Chelliah Sriskandarajah
Texas A&M University ( email )
77843
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