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NASA Scientific and Technical Aerospace Reports

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This dissertation presents a mathematical programming approach to the personnel tour scheduling problem based upon<br />

a minimum cost network flow formulation with specialized side constraints. The linear program optimally solves the tour<br />

scheduling problem for industries with continuous (24-hour) operations <strong>and</strong> a heterogeneous workforce, such as fast food<br />

restaurants, hotels <strong>and</strong> resorts, university computer labs, nurses in large health care systems, <strong>and</strong> retail sales. The methodology<br />

allows for a workforce with varying availabilities, part <strong>and</strong> full-time employees, differing skill-sets <strong>and</strong> wage rates, <strong>and</strong><br />

minimum <strong>and</strong> maximum shift requirements per week. Additionally, the formulation can quickly adjust an optimal schedule<br />

due to sickness, vacation, hiring or firing with the workforce, <strong>and</strong> minimize the number of deviations within the original<br />

schedule. A methodology that can optimally schedule both a continuous <strong>and</strong> a heterogeneous workforce in an insignificant<br />

amount of computational time is unique in the literature. In many instances, the linear program generates integral solutions<br />

to the tour-scheduling problem without branching, bounding, or cutting techniques. An interior-point method solves the<br />

formulation in less than 3 seconds for large problem instances of 80 employees scheduled to 420 distinct shifts. The efficiency<br />

of the formulation is presented for many test sets of problems as well as an application to the tour-scheduling problem of<br />

computer lab staffing at Arizona State University <strong>and</strong> nurses with the Banner Health network of heath care providers.<br />

DTIC<br />

Heterogeneity; Linear Programming; Manpower; Personnel; Scheduling<br />

20060001855 Connecticut Univ., Storrs, CT USA<br />

A Library of Optimization Algorithms for Organizational Design<br />

Levchuk, Georgiy M.; Levchuk, Yuri N.; Luo, Jie; Tu, Fang; Pattipati, Krishna R.; Jan. 1, 2005; 41 pp.; In English; Original<br />

contains color illustrations<br />

Contract(s)/Grant(s): N00014-93-1-0793; N00014-98-1-0465<br />

Report No.(s): AD-A440389; No Copyright; Avail.: Defense <strong>Technical</strong> Information Center (DTIC)<br />

This paper presents a library of algorithms to solve a broad range of optimization problems arising in the normative design<br />

of organizations to execute a specific mission. The use of specific optimization algorithms for different phases of the design<br />

process leads to an efficient matching between the mission structure <strong>and</strong> that of an organization <strong>and</strong> its resources/constraints.<br />

This library of algorithms forms the core of the authors’ design software environment for synthesizing organizations that are<br />

congruent with their missions. It allows an analyst to obtain an acceptable trade-off among multiple objectives <strong>and</strong> constraints,<br />

as well as between computational complexity <strong>and</strong> solution efficiency (i.e., desired degree of sub-optimality).<br />

DTIC<br />

Algorithms; Comm<strong>and</strong> <strong>and</strong> Control; Libraries; Optimization; Organizations<br />

20060001856 Naval Postgraduate School, Monterey, CA USA<br />

Scenario Design for the Empirical Testing of Organizational Congruence<br />

Kleinman, David L.; Levchuk, Georgiy M.; Hutchins, Susan G.; Kemple, William G.; Jan. 1, 2005; 14 pp.; In English;<br />

Original contains color illustrations<br />

Report No.(s): AD-A440390; No Copyright; Avail.: Defense <strong>Technical</strong> Information Center (DTIC)<br />

Over the past several years, researchers within the ONR-sponsored Adaptive Architectures for Comm<strong>and</strong> <strong>and</strong> Control<br />

(A2C2) research program have been investigating the concept of organizational ‘congruence.’ These model-based theories<br />

loosely state that the better an organization is matched structurally to the overall mission (as measured using a multi-variant<br />

set of workload/ congruence metrics) the better will that organization perform, <strong>and</strong> that mismatches are potential drivers for<br />

the adaptation of organization structure. To test the congruence theories <strong>and</strong> their corollaries in a laboratory experiment, the<br />

authors’ approach was to seek two sufficiently disparate organizational structures <strong>and</strong> then design two missions (or scenarios)<br />

that would exploit the differences in these two structures. One scenario would be ‘tuned’ to organization 1 to exhibit a high<br />

degree of congruence, but at the same time it would be ‘mismatched’ (i.e., exhibit low congruence) with organization 2.<br />

Conversely, the second scenario would be engineered to be congruent with organization 2, but incongruent with organization<br />

1. This paper describes the selection of the two organizations, <strong>and</strong> the model-driven design of the two scenarios.<br />

DTIC<br />

Comm<strong>and</strong> <strong>and</strong> Control; Congruences; Optimization; Organizations; War Games<br />

20060001917 New Mexico State Univ., Las Cruces, NM USA<br />

On Models for Coordination of Activity <strong>and</strong> It’s Disruption<br />

Lakey, Joseph; Coombs, Mike; Izu, Scott; Weaver, Chris; Sep. 25, 2005; 25 pp.; In English<br />

Contract(s)/Grant(s): DAAD19-02-1-0211<br />

Report No.(s): AD-A440554; AS02-0145; NMSU-2003005; ARO-43787.3-MA; No Copyright; Avail.: Defense <strong>Technical</strong><br />

Information Center (DTIC)<br />

179

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