Summary of Research
Dr. Zhang’s research is in the field of mathematical programming and optimization, especially linear and integer programming and its applications in Manufacturing and Service Operations, Logistics, Transportation and Engineering Optimization. Some specific projects that Dr. Zhang has worked or is working on are listed as follows.
1) US Postal Equipment
and Staff Scheduling (Chief Developer)
U.S.P.S. is the second largest
employer in the U.S. with over 800,000 personnel. More than 1/3 of these
employees work at around 275 mail processing centers nationwide. The
central problem here is how to run these facilities efficiently with minimum
labor cost. The problem is modeled as a mixed flow shop and job shop
problem with multiple criteria and is solved sequentially. The core of
this optimization scheme is the inclusion of a surrogate constraint in the form
of worker shifts that must cover daily labor costs. The inclusion of this
constraint is vital and provides a way to combine equipment and labor
scheduling. Several computational improvements, including pre-processing,
the use of target solution and decomposition have been elegantly combined to
find high quality solutions efficiently. A decision support system is
developed and is now being tested at several facilities. It is estimated
that annual savings on the order of $1.6 million can be achieved per facility
(there are 275 facilities nationwide). The system is expected to be fully
deployed in the next three years.
2) Crew
Management in Airline Irregular Operations (One of the Key Developers)
An airline schedule
rarely operates as planned due to various disruptions. These disruptions,
if not managed quickly and correctly, could propagate and amplify through the
system. In this project, we investigated how to quickly bring the crew
back to their published schedule. The basic problem was modelled as a set
covering with side constraints and variations were investigated to allow robust
schedule. Several algorithms including simulated annealing and Tabu
search heuristics, customized branching together adaptive improving techniques
were developed to achieve faster convergence. I assisted with the
implementation in Northwest Airlines. The project was later awarded
the Franz Edelman Prize from INFORMS in 2002.
3) Advertising
Allocation for TV Networks (Chief Developer)
Television networks depend on selling
a limited number of advertisement slots in their entertainment programs to
advertisers to sustain their operations and to deliver programs to homes free
of charge. The problem here is how to efficiently allocate these slots to
achieve maximum profits and to meet the advertisers’ demographic coverage
requirements. A two-step hierarchical approach, composed of a winner
selection problem and a pod adjustment problem, was designed. The winner
selection problem was then solved using an efficient column generation-based
algorithm. The methodology is applicable to similar advertising
allocation problems in other areas, such as cable networks and radio stations.
4) Design and
Optimization of LFSR Based VLSI Testing Structure (Chief Developer)
Testing of
digital circuits includes performing test pattern generation and output
analysis and is a major portion of the effort in the design, production and
usage. One of a major scheme in VLSI testing is to perform test pattern
generation and output response analysis through built-in hardware such as
Linear feedback shift registers (LFSR). This research investigates the
mathematical model and methodologies to the structure design and optimization
of 2D LFSR based VLSI Built-in Self-Test. Preliminary results show that
hardware reduction nearly 80% was achieved -- the optimal size of the testing
hardware is only 1/6 as that used reported in the literature. This
research, coupled with the study of test relaxation technique, will provide a
novel and direct route to the design of VLSI system with high fault coverage
and is expected to reduce testing hardware by orders of magnitudes.
5) Novel Neighborhood
Search for Integer Program with Multiple Solutions (Chief Developer)
Integer programs arise in a variety of
engineering and management areas in manufacturing, logistics and supply chain.
Though there have been tremendous advances in computational power and discrete
optimization solution techniques, integer program remains one of the hardest
problems to solve. Most advanced algorithms require deep knowledge and
understanding of problem-specific structures for efficient execution, are
applicable mostly to 0-1 integer programs, but not well suited for use as a
generic solver for a variety of integer programs, or integer programs with
general integer variables. This research is to develop an advanced
solution methodology for general integer programs through the definition and
use of an innovative neighborhood search. It studies the mechanisms that
enable a systematic traversal of the integer program solution landscape and
derive their critical properties in covering the solution landscape, as well as
efficient forms of neighborhood structures for general integer programs and
assess their theoretical and practical properties. Preliminary results
for benchmark test sets such as knapsack and set covering, and practical applications
such as airline and postal staff scheduling have suggested the algorithm is
computational efficient and is able to obtain multiple solutions with fast
convergence than the state of art commercial solver.
6) Supply Chain Network Planning, Inventory and
Warehouse Management (Chief Developer)
This research includes supply chain network
planning, inventory control, warehouse management, and manufacturing strategies
and the design of state-of-the-art assembly-to-order systems. One such system,
an assembly to order system have saved companies more than millions in the raw
materials cost, reduce lead time in getting products to customers. A partial list of past projects in supply
chain and logistics transportation and logistics, inventory control, and
warehouse operations is listed below.
·
Logistics and
Transportation in Airlines -- Implemented in Continental and Northwest
Airlines, more than $50M reported for a major airline in 2001.
·
USPS Equipment and
Workforce Scheduling -- Implemented in 275 facilities nationwide with $400M
savings reported.
·
Forecasting, Production Planning,
Manufacturing, and Inventory – Rittal Corp : More than $1M savings out of a
$12M business department.
·
Material
Management, Warehouse Layout and Management – Rittal Corp: The warehouse being significantly consolidated
– 50% of its original size; Picking efficiency has greatly increased by 200%, picking
time was reduced from 29 minutes to 8 minutes; Labor and overtime cost reduced by 20%.
·
Inventory
Management, Warehouse and Lean Manufacturing – Rittal Corp and Peco II
cooperation. More than $3M, 25%
reduction in inventory is reported in Peco II from 11/2007 until 01/200, see
below
·
Procumbent
Management and Combinatorial Auction– NBC & Sears Logistics and David
Joseph Company: $500,000 expected out of $5M, 10% reduction in transportation
cost.
·
Facility Location
in Reverse Logistics – Hilti Corp: The exact location and inventory for Hilti
Corporation’s 11 warehouses and distribution centers, currently adopted by
Hilti Corp

Research Funds
·
$72,000, Peco II Inc, “Integrated Supply Chain
Management: Sales Forecast, Product Pricing, Manufacturing Planning,
Procurement Management, Inventory Control and Lean Manufacturing Strategies,”
PI, 08/01/2008 ~08/31/2009 (WSU Account #667265)
·
$54,000, Peco II Inc, “Inventory Control,
Forecast, Facility Layout, Assembly to Order, Lean manufacturing and Supply
Chain management,” PI, 11/01/2007 ~08/31/2008 (WSU Account #667111)
·
$7,500, The David J. Joseph Company,
“Transportation Consolidation Optimization(Phase I)”, PI,
11/01/2007~03/31/2008, (WSU Account #667104)
·
$70,000, Rittal Corporation, “Warehouse
Management, Inventory, Logistics and Supply Chain Optimization”, PI, 01/01/2007 ~ 12/30/2007, (WSU Account #666773)
·
$15,000, Rittal Corporation, “Raw Material
Warehouse Management : Warehouse-within-Warehouse Identification and Location,
Fast/Medium/Slow Mover Identification, Warehouse Layout, and Order Picking
Route Optimization to Maximize Space Utilization, Increase Operation Efficiency
and Lead to Best Practice In Industry”, PI,
08/1/2006 ~ 12/15/2006, (WSU Account #666656)
·
$122,000, The Wright Brothers Institute Inc.,
“Wright Innovation and Collaboration (WICC) Virtual Hub”, CO-PI. (PI: Dr. S.
Narayanan) 10/01/06~09/30/07 (WSU Account #666651)
·
$63,108.18, The Wright Brothers Institute
Inc., “Support for Wright Innovation and Collaboration (WICC) Workshop”, CO-PI.
(PI: Dr. S. Narayanan) 08/24/06~09/30/07 (WSU Account #666670)
·
$33,326, Rittal Corporation, “Raw Material
Availability, Forecasting, and Inventory Policies Analysis”, PI, 02/01/2006 ~ 05/31/2006, (WSU Account:
666457)
·
$45,000, “UAV Platform Routing, Target
Tracking, Optimization and Simulation,” Principal Investigator, 08/1/2007 ~ 08/30/2008
(WSU account #: 666885)
·
$25,000, “Write Research Initiative for the
Technology Evolution with RFID (WRITER),” Co-PI, 08/1/2007 ~ 08/30/2008 (WSU
account #: 666965)
·
$14,000, 1 year, “A Quick, Effective
Neighborhood Search for Integer Programs and Its Applications in Defense
Logistics, Supply Chain Management, and Airline Scheduling Problems,” Research
Challenge Grant, Wright State University, Principal Investigator, January,2006
(WSU Account: 666412)
·
$10,000, 1 year, “Mathematical Model and
Solution Approaches to the Systematic Design of Linear Feedback Shift Register
with Embedded Test Patterns for BIST,” Research Initiation Grant, Wright State
University, Principal Investigator, June, 2005 (WSU Account: 285027)
·
$12,000, 1 year, “Integrated Production
Planning and Workforce Scheduling In Processing Industries,” Research Challenge
Grant, Wright State University, Principal Investigator, January,2005 (WSU
Account: 666035)
·
$25,000, 1 year, “An Investigation of
Mathematical Programming Techniques to Solve Large Scale Optimization
Problems”, Research Challenge Grant, Wright State University, Principal
Investigator, August 2003, (WSU Account: 665589)