## Batch Scheduling in Optical Networks |

Journal of Optical Communications and Networking, Vol. 5, Issue 2, pp. 116-126 (2013)

http://dx.doi.org/10.1364/JOCN.5.000116

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### Abstract

Batch scheduling accommodates a group of tasks with the start/end time constraints to maximize the revenue from scheduling tasks over a number of servers, which has been extensively studied in the context of *job–machine scheduling*. In optical networks, batch scheduling refers to the process of scheduling a group of data units (i.e., the *jobs*) competing for the same set of wavelength channels (i.e., the *machines*). Classical *job–machine scheduling* studies have considered both the case of a pure-loss system, and the case with waiting rooms (i.e., buffers), which are generally in the form of random access memory (RAM). In optical networks, the buffering is achieved by feeding the optical signal into a fixed length of fiber, namely, a fiber delay line (FDL), since optical RAM is not yet available. The unique feature of the discrete and predefined buffering time in fact instantiates a new type of problem, namely, *job–machine scheduling with discrete-time buffers*. In this work, we comprehensively study batch scheduling in optical networks. We show that batch scheduling with and without FDLs corresponds to two different instances of the *job–machine scheduling* problem. While proving their NP-completeness, we mathematically model both cases using integer linear programming formulations to provide an optimal scheduling. Given the timeliness request for on-line batch scheduling and the dramatic problem size in optical networks, we also propose polynomial-time heuristic algorithms, which are shown to be near optimal in our simulations.

© 2013 OSA

**OCIS Codes**

(200.4490) Optics in computing : Optical buffers

(200.6715) Optics in computing : Switching

**ToC Category:**

Research Papers

**History**

Original Manuscript: April 9, 2012

Revised Manuscript: October 12, 2012

Manuscript Accepted: December 11, 2012

Published: January 10, 2013

**Citation**

Yang Wang, Xiaojun Cao, Adrian Caciula, and Qian Hu, "Batch Scheduling in Optical Networks," J. Opt. Commun. Netw. **5**, 116-126 (2013)

http://www.opticsinfobase.org/jocn/abstract.cfm?URI=jocn-5-2-116

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