Resource
Oriented Scheduling
Resource constrained scheduling should be applied
whenever there are limited resources available for a project and the
competition for these resources among the project activities is keen. In
effect, delays are liable to occur in such cases as activities must wait until
common resources become available. To the extent that resources are limited and
demand for the resource is high, this waiting may be considerable. In turn, the
congestion associated with these waits represents increased costs, poor
productivity and, in the end, project delays. Schedules made without
consideration for such bottlenecks can be completely unrealistic.
Resource
constrained scheduling is
of particular importance
in managing multiple projects with fixed resources of
staff or equipment. For example, a design office has an identifiable staff
which must be assigned to particular projects and design activities. When the
workload is heavy, the designers may fall behind on completing their
assignments. Government agencies are particularly prone to the problems of
fixed staffing levels, although some flexibility in accomplishing tasks is
possible through the mechanism of contracting work to outside firms.
Construction activities are less susceptible to this type of problem since it
is easier and less costly to hire additional personnel for the (relatively)
short duration of a construction project. Overtime or double shift work also
provide some flexibility.
Resource oriented scheduling also is appropriate
in cases in which unique resources are to be used. For example, scheduling
excavation operations when one only excavator is available is simply a process
of assigning work tasks or job segments on a day by day basis while insuring
that appropriate precedence relationships are maintained. Even with more than
one resource, this manual assignment process may be quite adequate. However, a
planner should be careful to insure that necessary precedences are maintained.
Resource constrained scheduling represents a
considerable challenge and source of frustration to researchers in mathematics
and operations research. While algorithms for optimal solution of the resource
constrained problem exist, they are generally too computationally expensive to
be practical for all but small networks (of less than about 100 nodes). The
difficulty of the resource constrained project scheduling problem arises from
the combinatorial explosion of different resource assignments which can be made
and the fact that the decision variables are integer values representing
all-or-nothing assignments of a particular resource to a particular activity.
In contrast, simple critical path scheduling deals with continuous time
variables. Construction projects typically involve many activities, so optimal
solution techniques for resource allocation are not practical.
One possible simplification of the resource oriented
scheduling problem is to ignore precedence relationships. In some applications,
it may be impossible or unnecessary to consider precedence constraints among
activities. In these cases, the focus of scheduling is usually on efficient
utilization of project resources. To insure minimum cost and delay, a project
manager attempts to minimize the amount of time that resources are unused and
to minimize the waiting time for scarce resources. This resource oriented
scheduling is often formalized as a problem of "job shop" scheduling
in which numerous tasks are to be scheduled for completion and a variety of
discrete resources need to perform operations to complete the tasks. Reflecting
the original orientation towards manufacturing applications, tasks are usually
referred to as "jobs" and resources to be scheduled are designated
"machines." In the provision of constructed facilities, an analogy
would be an architectural/engineering design office in which numerous design
related tasks are to be accomplished by individual professionals in different
departments. The scheduling problem is to insure efficient use of the
individual professionals (i.e. the resources) and to complete specific tasks in
a timely manner.
The
simplest form of resource oriented scheduling is a reservation system for
particular resources. In this case, competing activities or users of a resource
pre-arrange use of the resource for a particular time period. Since the
resource assignment is known in advance, other users of the resource can schedule
their activities more effectively. The result is less waiting or
"queuing" for a resource. It is also possible to inaugurate a
preference system within the reservation process so that high-priority
activities can be accomadated directly.
In the more general case of multiple resources and specialized tasks, practical resource constrained
scheduling procedures rely
on heuristic procedures
to develop good but not necessarily optimal
schedules. While this is the occasion for considerable anguish
among researchers, the heuristic methods will typically give fairly good
results. An example heuristic method is provided in the next section. Manual
methods in which a human scheduler revises a critical path schedule in light of
resource constraints can also work relatively well. Given that much of the data
and the network representation used in forming a project schedule are
uncertain, the results of applying heuristic procedures may be quite adequate
in practice.
Example
2-6: A Reservation System
A recent construction project for a high-rise
building complex in New York City was severely limited in the space available
for staging materials for hauling up the building. On the four building site,
thirty-eight separate cranes and elevators were available, but the number of
movements of men, materials and equipment was expected to keep the equipment
very busy. With numerous sub-contractors desiring the use of this equipment,
the potential for delays and waiting in the limited staging area was
considerable. By implementing a crane reservation system, these problems were
nearly entirely avoided. The reservation system required contractors to
telephone one or more days in advance to reserve time on a particular crane.
Time were available on a first-come, first-served basis (i.e. first call, first
choice of available slots). Penalties were imposed for making an unused
reservation. The reservation system was also computerized to permit rapid
modification and updating of information as well as the provision of standard
reservation schedules to be distributed to all participants.
Example 2
-7: Heuristic Resource Allocation
Suppose
that a project manager has eleven pipe sections for which necessary support
structures and materials are available in a particular week. To work on these
eleven pipe sections, five crews are available. The allocation problem is to
assign the crews to the eleven pipe sections. This allocation would consist of
a list of pipe sections allocated to each crew for work plus a recommendation
on the appropriate sequence to undertake the work. The project manager might
make assignments to minimize completion time, to insure continuous work on the
pipeline (so that one section on a pipeline run is not left incomplete), to
reduce travel time between pipe sections, to avoid congestion among the
different crews, and to balance the workload among the crews. Numerous trial
solutions could be rapidly generated, especially with the aid of an electronic
spreadsheet. For example, if the nine sections had estimated work durations for
each of the fire crews as shown in Table 10-13, then the allocations shown in
Figure 2-16 would result in a minimum completion time.
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